I used to live in just outside of Belfast for about 8 months about a year ago now so I can give you quite a good insight into what its like here. Honestly and this is coming from an English person Belfast is really quite safe, I never once felt under threat while in Belfast and apart from some harmless banter I could watch England play football in Wetherspoons which is something I would think twice about in Scotland or Wales. I think people think violence is rife in NI because of the media attention it gets, like you hear about the attacks at Masserene Barracks but incidents like that are rare now. As a tourist you are much likely to be mugged, robbed, raped etc in most other Cities in the UK than you are in Belfast its just that they dont get the coverage that incidents in NI do.
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Honestly relax, its really quite a nice place.